Stochastization of vortices

A range of configuration temperatures is determined in which quasiperiodicity for a system of four linear vortices in an unlimited space is missing. The absence of quasiperiodicity and a three-dimensional motion of the four vortices in an unlimited space indicate that the system of vortices in general does not have 'hidden' motion integrals (those not associated with the symmetry restrictions). In the presence of boundaries and an external flow, the loss of quasiperiodicity and stochastization can occur with a smaller number of vortices. For stochastization, generally three vortices are sufficient for a flow above a flat boundary or inside a cylinder; in a region without displacment and rotational symmetry a loss of quasiperiodicity can occur with two vortices; and one vortex is sufficient for the stochastization of the liquid particle trajectories in such a region.